8071314000 has 320 divisors, whose sum is σ = 27702155520. Its totient is φ = 2016000000.

The previous prime is 8071313953. The next prime is 8071314049. The reversal of 8071314000 is 4131708.

It is a super-2 number, since 2×8071314000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11513650 + ... + 11514350.

It is an arithmetic number, because the mean of its divisors is an integer number (86569236).

Almost surely, 2^8071314000 is an apocalyptic number.

8071314000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8071314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851077760).

8071314000 is an abundant number, since it is smaller than the sum of its proper divisors (19630841520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8071314000 is a wasteful number, since it uses less digits than its factorization.

8071314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 8071314000 is about 89840.4919844053. The cubic root of 8071314000 is about 2005.9252616349.

Adding to 8071314000 its reverse (4131708), we get a palindrome (8075445708).

The spelling of 8071314000 in words is "eight billion, seventy-one million, three hundred fourteen thousand".